A140442 Primes congruent to 9 mod 14.

23, 37, 79, 107, 149, 163, 191, 233, 317, 331, 359, 373, 401, 443, 457, 499, 541, 569, 653, 709, 751, 821, 863, 877, 919, 947, 1031, 1087, 1129, 1171, 1213, 1283, 1297, 1367, 1381, 1409, 1423, 1451, 1493, 1549, 1619, 1759, 1787, 1801, 1871, 1913, 1997

Offset: 1

Author

Juri-Stepan Gerasimov, Jun 26 2008

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Primes arising in sequences A045437, A045458, A045471, A045473.

A090613 gives prime index.

Cf. A090614.

Programs

Magma

[p: p in PrimesUpTo(2000)|p mod 14 in {9}] // Vincenzo Librandi, Dec 18 2010

Mathematica

Select[Prime[Range[500]],MemberQ[{9},Mod[#,14]]&] (* Vincenzo Librandi, Aug 07 2012 *)
Select[Range[9,2000,14],PrimeQ] (* Harvey P. Dale, Apr 17 2015 *)

PARI

is(n)=isprime(n) && n%14==9 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) = A045392(n+1) = A045383(n+2). - Zak Seidov, Mar 12 2014

a(n) ~ 6n log n. - Charles R Greathouse IV, Jul 03 2016

Extensions

1451 inserted by R. J. Mathar, Sep 13 2008